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Finding the Fourth Proportional to 20,897.82, 28,839.50 and 11,466.38

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Solution

The fourth proportional to 20,897.82, 28,839.50 and 11,466.38 is: 15,823.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,897.82 : 28,839.50 = 11,466.38 : x
  2. Step 2: Convert to fraction form
    20,897.82/28,839.50 = 11,466.38/x
  3. Step 3: Cross multiply
    20,897.82x = 28,839.50 × 11,466.38
  4. Step 4: Simplify right side
    20,897.82x = 330,684,464.48
  5. Step 5: Solve for x
    x = 330,684,464.48/20,897.82
  6. Step 6: Final answer
    x = 15,823.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.